Answer:
Answers are below
Step-by-step explanation:
M is the slope of the line on a graph. b is the y-intercept of the line, where the line crosses the y-axis. x is the input, or x-values of the graph that are used on the line. y is the output, or y-values that result from the slope multiplying with the x-values added to the b.
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Answer:
If you want to draw a perpendicular line from a point on a line, you would measure a 90 degree angle from that point and then draw the line outward.
Explanation
On the other hand, if you wanted to draw a perpendicular line connecting a line and a point off of the line, you would have to connect the point to the location on the line that forms a 90 degree angle.
Both methods involve making a 90 degree angle between two lines. Can you think of any other similarities?
ANSWER
EXPLANATION
It was given that, the length of the rectangular building is
and the width of the is
The area of a rectangular building is calculated using the formula for finding the area of a rectangle.
Since the dimensions are given in terms of x, the area is also a function of x,
We expand to get,
meters square
Answer:
George is 12, Mary Lou is 24 and Kate is 10.
Step-by-step explanation:
To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46
x + 2x + x - 2 = 46
4x - 2 = 46
4x = 48
x = 12
This means that George is 12.
Mary Lou = 2x
Mary Lou = 2(12)
Mary Lou = 24
Kate = x - 2
Kate = 12 - 2
Kate = 10
is a monomial (since it is all connected by multiplication) and since it is in the degree of 2, that makes it a quadratic.
-2 is a constant (since it doesn't have variables) and it is a monomial (since it is all connected by multiplication)
3x-9 is a binomial (since it has two terms, not connected by multiplication) and since it has x in the power of 1, that makes it a linear equation.
Finally,
-6x + 9 is a trinomial (since it has 3 terms connected by either addition or subtraction) and since the degree of the polynomial is 2, that makes it a quadratic.
